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Finding the Fourth Proportional to 8,146.44, 12,221.28 and 3,466.44

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Solution

The fourth proportional to 8,146.44, 12,221.28 and 3,466.44 is: 5,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.44 : 12,221.28 = 3,466.44 : x
  2. Step 2: Convert to fraction form
    8,146.44/12,221.28 = 3,466.44/x
  3. Step 3: Cross multiply
    8,146.44x = 12,221.28 × 3,466.44
  4. Step 4: Simplify right side
    8,146.44x = 42,364,333.84
  5. Step 5: Solve for x
    x = 42,364,333.84/8,146.44
  6. Step 6: Final answer
    x = 5,200.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.